scholarly journals Ground state solutions for a quasilinear Kirchhoff type equation

2016 ◽  
pp. 1-14
Author(s):  
Hongliang Liu ◽  
Haibo Chen ◽  
Qizhen Xiao
Keyword(s):  
Ground State ◽  
Type Equation ◽  
Ground State Solutions ◽  
Kirchhoff Type ◽  
Kirchhoff Type Equation

The existence of a ground-state solution for a class of Kirchhoff-type equations in ℝN

2016 ◽  
Vol 146 (2) ◽  
pp. 371-391 ◽  
Author(s):  
Jiu Liu ◽  
Jia-Feng Liao ◽  
Chun-Lei Tang
Keyword(s):  
Ground State ◽  
Type Equation ◽  
Ground State Solution ◽  
State Solution ◽  
Kirchhoff Type ◽  
Kirchhoff Type Equation ◽  
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In this paper, we study the following Kirchhoff-type equation: where a, b are positive constants and N = 1, 2, 3. Under appropriate assumptions on V, K and g, we obtain a ground-state solution by using the approach developed by Szulkin and Weth in 2010.

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